Everton face the Croatian club in the final play-off round as they bid to reach the group stages of the competition that Manchester United won last season.
The first leg is scheduled to take place at Goodison Park on August 17 before Koeman’s team travel to the 35,000-capacity Stadion Poljud on August 24.
“Hajduk Split will be a real challenge, with their strong support and a stadium that is good to play football in,” Koeman told Everton’s official website.
“But of course we want to reach the group stages of the Europa League, so we will have analysed their strengths and weaknesses between now and the tie and we will be prepared.”
Everton were seeded for Friday’s draw in Nyon, Switzerland after overcoming MFK Ruzomberok 2-0 on aggregate in the previous qualifying round.
The Toffees, in European competition for the first time in three years, were not at their best in either leg against the Slovakian side. Leighton Baines’ deflected shot gave them a 1-0 win at Goodison Park before Dominic Calvert-Lewin’s goal on Thursday night provided the same scoreline in the away leg.
Hajduk Split have beaten Levski Sofia and Brondby to get to this stage and have lost in the final play-off round in each of the past three seasons.
The last Premier League club to play them was Stoke in 2011 and Tony Pulis’ team won each leg to advance 2-0 on aggregate.
As a result of Everton’s progress, their Premier League match against champions Chelsea at Stamford Bridge has been moved to Sunday, August 27, having previously been scheduled to take place the previous day.